Unit 4A Day 1 Homework

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

Explain the concept of an equation.

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Front

Define the term 'coefficient'.

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy a given equation or inequality.

Front

Define 'like terms'.

Back

Like terms are terms in an expression that have the same variable raised to the same power.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.